Search a number
-
+
1224263131 = 713113119057
BaseRepresentation
bin100100011111000…
…1100010111011011
310011022200000021221
41020332030113123
510001402410011
6321252112511
742224031160
oct11076142733
93138600257
101224263131
11579079013
122a2005737
1316683b170
14b8848067
157272e971
hex48f8c5db

1224263131 has 16 divisors (see below), whose sum is σ = 1520132544. Its totient is φ = 960067584.

The previous prime is 1224263063. The next prime is 1224263147. The reversal of 1224263131 is 1313624221.

It is not a de Polignac number, because 1224263131 - 213 = 1224254939 is a prime.

It is a super-2 number, since 2×12242631312 = 2997640427851846322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1224263096 and 1224263105.

It is not an unprimeable number, because it can be changed into a prime (1224263231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49246 + ... + 69811.

It is an arithmetic number, because the mean of its divisors is an integer number (95008284).

Almost surely, 21224263131 is an apocalyptic number.

1224263131 is a deficient number, since it is larger than the sum of its proper divisors (295869413).

1224263131 is a wasteful number, since it uses less digits than its factorization.

1224263131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119190.

The product of its digits is 1728, while the sum is 25.

The square root of 1224263131 is about 34989.4717165035. The cubic root of 1224263131 is about 1069.7728958721.

Adding to 1224263131 its reverse (1313624221), we get a palindrome (2537887352).

The spelling of 1224263131 in words is "one billion, two hundred twenty-four million, two hundred sixty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 91 113 791 1469 10283 119057 833399 1547741 10834187 13453441 94174087 174894733 1224263131